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Finding the Fourth Proportional to 8,463.69, 12,695.54 and 8,113.77

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Solution

The fourth proportional to 8,463.69, 12,695.54 and 8,113.77 is: 12,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.69 : 12,695.54 = 8,113.77 : x
  2. Step 2: Convert to fraction form
    8,463.69/12,695.54 = 8,113.77/x
  3. Step 3: Cross multiply
    8,463.69x = 12,695.54 × 8,113.77
  4. Step 4: Simplify right side
    8,463.69x = 103,008,651.02
  5. Step 5: Solve for x
    x = 103,008,651.02/8,463.69
  6. Step 6: Final answer
    x = 12,170.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.